The product of LCM and HCF of 3.02 and 1.8 is

Options

A. 5.436
B. 5.346
C. 5.643
D. 5.364

Answer

To find the product of the LCM and HCF of the numbers 3.02 and 1.8, we can use the formula:

\[ \text{LCM} \times \text{HCF} = \text{Product of the numbers} \]

### Step-by-step Solution:

1. **Identify the Numbers**:
The given numbers are 3.02 and 1.8.

2. **Convert to Whole Numbers**:
To simplify calculations, we can remove the decimals by multiplying both numbers by 100 (the least power of 10 that will eliminate the decimals):
- \(3.02 \times 100 = 302\)
- \(1.8 \times 100 = 180\)

3. **Calculate the Product of the Whole Numbers**:
Now, we calculate the product of the two whole numbers:
\[ 302 \times 180 \]

4. **Perform the Multiplication**:
- \(302 \times 180 = 54360\)

5. **Adjust for the Decimal Places**:
Since we multiplied both numbers by 100, we need to divide the product by \(100 \times 100 = 10000\) to adjust for the decimal places:
\[ \frac{54360}{10000} = 5.436 \]

6. **Final Answer**:
The product of the LCM and HCF of 3.02 and 1.8 is \(5.436\).

### Conclusion:
Thus, the product of the LCM and HCF of 3.02 and 1.8 is \(5.436\).